Q.

In the figure all springs are identical having spring constant K and mass m each. The block has also mass m. The frequency of oscillation of the block is

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a

12π3km

b

12π3k2m

c

2π3m2k

d

1π3mk

answer is B.

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Detailed Solution

If a spring has  ms thenf = 12πkm+ms3Spring constant = 3k.f = 12π3km+3m3 = 12π3k2m
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In the figure all springs are identical having spring constant K and mass m each. The block has also mass m. The frequency of oscillation of the block is